hasil dri [tex]4 \sqrt[3]{6} + 5 \sqrt[3]{6} - {6}^{ 1\frac{1}{3} } [/tex]adalah....[tex]a. \: 15 \s.... Question from @Khonshu

August 2022 2 27 Report

hasil dri

[tex]4 \sqrt[3]{6} + 5 \sqrt[3]{6} - {6}^{ 1\frac{1}{3} } [/tex]
adalah....

[tex]a. \: 15 \sqrt[3]{18} \\ b. \: 15 \sqrt[3]{6} \\ c. \: 3 \sqrt[3]{18} \\ d. \: 3 \sqrt[3]{6} [/tex]

MadaraUchiha01

$\sf Hasil \: dari \: 4 \sqrt[3]{6} + 5 \sqrt[3]{6} - {6}^{ 1\frac{1}{3} } \: adalah \: \small \boxed{\sf 3 \sqrt[3]{6}}$

Pembahasan:

$\boxed{\begin{aligned}\sf 4 \sqrt[3]{6} + 5 \sqrt[3]{6} - {6}^{ 1\frac{1}{3} }&=\sf 4 \sqrt[3]{6} + 5 \sqrt[3]{6} - {6}^{\frac{4}{3} }\\ \sf &=\sf 4 \sqrt[3]{6} + 5 \sqrt[3]{6} - \sqrt[3]{ {6}^{4} } \\ \sf &= \sf 9 \sqrt[3]{6} - \sqrt[3]{ {6}^{3} \times 6} \\ \sf &=\sf 9 \sqrt[3]{6} - 6 \sqrt[3]{6}\\ \sf &=\sf 3 \sqrt[3]{6} \end{aligned}}$

Jadi, opsi yang tepat adalah (D).

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